Answer
$1$
Work Step by Step
Substituting $x=
-4
$ and $y=
-6
$, the given expression, $
\dfrac{-3x+4y}{3x}
,$ evaluates to
\begin{array}{l}\require{cancel}
\dfrac{-3(-4)+4(-6)}{3(-4)}
\\\\=
\dfrac{12-24}{-12}
\\\\=
\dfrac{-12}{-12}
\\\\=
1
.\end{array}